The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval , where is the true but unknown voltage of the circuit. Suppose that denote a random sample of such readings. a. Show that Y(bar) is a biased estimator of θ and compute the bias.
b. Find a function of Y(bar) that is an unbiased estimator of θ
c. Find MSE(Y(bar)) when Y(bar) is used as an estimator of θ